Search Results: "Ar"

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16:56
Expected Value of Binomial Distribution

611 views / 0 likes - added 9 years ago

Expected value of a binomial distributed random variable More free lessons at: http://www.khanacademy.org/video?v=SqcxYnNlI3Y
09:00
Law of Large Numbers

518 views / 0 likes - added 9 years ago

Introduction to the law of large numbers More free lessons at: http://www.khanacademy.org/video?v=VpuN8vCQ--M
26:04 Popular
Normal Distribution Excel Exercise

1,633 views / 0 likes - added 9 years ago

(Long-26 minutes) Presentation on spreadsheet to show that the normal distribution approximates the binomial distribution for a large number of trials. More free lessons at: http://www.khanacademy.org/video?v=yTGEMoaWDCQ
08:16 Popular
ck12.org Exercise: Standard Normal Distribution and the Empirical Rule

892 views / 0 likes - added 9 years ago

Using the Empirical Rule with a standard normal distribution More free lessons at: http://www.khanacademy.org/video?v=2fzYE-Emar0
15:15
Standard Error of the Mean

498 views / 0 likes - added 9 years ago

Standard Error of the Mean (a.k.a. the standard deviation of the sampling distribution of the sample mean!) More free lessons at: http://www.khanacademy.org/video?v=J1twbrHel3o
08:20
Mean and Variance of Bernoulli Distribution Example

672 views / 0 likes - added 9 years ago

Mean and Variance of Bernoulli Distribution Example More free lessons at: http://www.khanacademy.org/video?v=O8vB1eInP_8
06:59 Popular
Bernoulli Distribution Mean and Variance Formulas

725 views / 0 likes - added 9 years ago

Bernoulli Distribution Mean and Variance Formulas More free lessons at: http://www.khanacademy.org/video?v=ry81_iSHt6E
15:03
Margin of Error 1

645 views / 0 likes - added 9 years ago

Finding the 95% confidence interval for the proportion of a population voting for a candidate. More free lessons at: http://www.khanacademy.org/video?v=OwPSuHXmiPw
10:05
Margin of Error 2

556 views / 0 likes - added 9 years ago

Finding the 95% confidence interval for the proportion of a population voting for a candidate. More free lessons at: http://www.khanacademy.org/video?v=YclQE2XtaLw
14:31
Large Sample Proportion Hypothesis Testing

666 views / 0 likes - added 9 years ago

Large Sample Proportion Hypothesis Testing More free lessons at: http://www.khanacademy.org/video?v=1JT9oODsClE
10:47 Popular
Variance of Differences of Random Variables

775 views / 0 likes - added 9 years ago

Variance of Differences of Random Variables More free lessons at: http://www.khanacademy.org/video?v=rLdoKZ7w0xI
02:42 Popular
Clarification of Confidence Interval of Difference of Means

725 views / 0 likes - added 9 years ago

Clarification of Confidence Interval of Difference of Means More free lessons at: http://www.khanacademy.org/video?v=yQsCMnz9wO8
10:47 Popular
Comparing Population Proportions 1

729 views / 0 likes - added 9 years ago

Comparing Population Proportions 1 More free lessons at: http://www.khanacademy.org/video?v=a1Ye5RcWOqg
10:01
Comparing Population Proportions 2

669 views / 0 likes - added 9 years ago

Comparing Population Proportions 2 More free lessons at: http://www.khanacademy.org/video?v=MNbat1lrJW4
16:13 Popular
Hypothesis Test Comparing Population Proportions

724 views / 0 likes - added 9 years ago

Hypothesis Test Comparing Population Proportions More free lessons at: http://www.khanacademy.org/video?v=dvSa_tx04hw
06:47 Popular
Squared Error of Regression Line

713 views / 0 likes - added 9 years ago

Introduction to the idea that one can find a line that minimizes the squared distances to the points More free lessons at: http://www.khanacademy.org/video?v=6OvhLPS7rj4
10:35
Proof (Part 1) Minimizing Squared Error to Regression Line

676 views / 0 likes - added 9 years ago

Proof (Part 1) Minimizing Squared Error to Regression Line More free lessons at: http://www.khanacademy.org/video?v=mIx2Oj5y9Q8
10:54 Popular
Proof (Part 3) Minimizing Squared Error to Regression Line

717 views / 0 likes - added 9 years ago

Proof (Part 3) Minimizing Squared Error to Regression Line More free lessons at: http://www.khanacademy.org/video?v=u1HhUB3NP8g
04:18 Popular
Proof (Part 4) Minimizing Squared Error to Regression Line

778 views / 0 likes - added 9 years ago

Proof (Part 4) Minimizing Squared Error to Regression Line More free lessons at: http://www.khanacademy.org/video?v=8RSTQl0bQuw
09:54 Popular
Proof Part 2 Minimizing Squared Error to Line

743 views / 0 likes - added 9 years ago

Proof Part 2 Minimizing Squared Error to Line More free lessons at: http://www.khanacademy.org/video?v=f6OnoxctvUk
12:41 Popular
R-Squared or Coefficient of Determination

740 views / 0 likes - added 9 years ago

R-Squared or Coefficient of Determination More free lessons at: http://www.khanacademy.org/video?v=lng4ZgConCM
09:45 Popular
Calculating R-Squared

733 views / 0 likes - added 9 years ago

Calculating R-Squared to see how well a regression line fits data More free lessons at: http://www.khanacademy.org/video?v=Fc5t_5r_7IU
15:08
Covariance and the Regression Line

699 views / 0 likes - added 9 years ago

Covariance, Variance and the Slope of the Regression Line More free lessons at: http://www.khanacademy.org/video?v=ualmyZiPs9w
10:23 Popular
Chi-Square Distribution Introduction

755 views / 0 likes - added 9 years ago

Chi-Square Distribution Introduction More free lessons at: http://www.khanacademy.org/video?v=dXB3cUGnaxQ
11:48
Pearson's Chi Square Test (Goodness of Fit)

662 views / 0 likes - added 9 years ago

Pearson's Chi Square Test (Goodness of Fit) More free lessons at: http://www.khanacademy.org/video?v=2QeDRsxSF9M
17:38 Popular
Contingency Table Chi-Square Test

773 views / 0 likes - added 9 years ago

Contingency Table Chi-Square Test More free lessons at: http://www.khanacademy.org/video?v=hpWdDmgsIRE
07:39 Popular
ANOVA 1 - Calculating SST (Total Sum of Squares)

786 views / 0 likes - added 9 years ago

Analysis of Variance 1 - Calculating SST (Total Sum of Squares) More free lessons at: http://www.khanacademy.org/video?v=EFdlFoHI_0I
13:20 Popular
ANOVA 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi

779 views / 0 likes - added 9 years ago

Analysis of Variance 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi More free lessons at: http://www.khanacademy.org/video?v=j9ZPMlVHJVs
10:14
ANOVA 3 -Hypothesis Test with F-Statistic

683 views / 0 likes - added 9 years ago

Analysis of Variance 3 -Hypothesis Test with F-Statistic More free lessons at: http://www.khanacademy.org/video?v=Xg8_iSkJpAE
10:45
Correlation and Causality

674 views / 0 likes - added 9 years ago

Understanding why correlation does not imply causality (even though many in the press and some researchers often imply otherwise) More free lessons at: http://www.khanacademy.org/video?v=ROpbdO-gRUo
12:02
Raising money for a startup

617 views / 0 likes - added 9 years ago

Raising money from an angel investor. Pre-money and post-money valuation. More free lessons at: http://www.khanacademy.org/video?v=8OCjwBkMJ_E
10:33
Bailout 3: Book value vs. market value

672 views / 0 likes - added 9 years ago

What it means when the market value of a stock is different from its book value. More free lessons at: http://www.khanacademy.org/video?v=TUOQZjotyAQ
11:24
Bailout 4: Mark-to-model vs. mark-to-market

671 views / 0 likes - added 9 years ago

Different ways of accounting for an asset. Mark-to-model vs. mark-to-market. More free lessons at: http://www.khanacademy.org/video?v=w_GZqhAR0I4
11:53
Bailout 8: Systemic Risk

596 views / 0 likes - added 9 years ago

How the banks are connected. What happens when one bank fails. More free lessons at: http://www.khanacademy.org/video?v=gX9aKDeAOz4
12:07
Bailout 10: Moral Hazard

627 views / 0 likes - added 9 years ago

Alternate plans and moral hazard. More free lessons at: http://www.khanacademy.org/video?v=roap32sTgPk
10:45
Bailout 11: Why these CDOs could be worth nothing

665 views / 0 likes - added 9 years ago

Why a CDO could be worth nothing even though they are "collateralized". More free lessons at: http://www.khanacademy.org/video?v=RkIM0Mbc8YQ
10:28
Bailout 12: Lone Star Transaction

601 views / 0 likes - added 9 years ago

A real life example of a transaction involving CDOs. More free lessons at: http://www.khanacademy.org/video?v=eZZkhSl8lMA
08:50
Banking 5: Introduction to Bank Notes

620 views / 0 likes - added 9 years ago

Introduction to bank notes (which you are more familiar with than you realize). More free lessons at: http://www.khanacademy.org/video?v=cNFLqhU4MN0
11:19 Popular
Banking 12: Treasuries (government debt)

701 views / 0 likes - added 9 years ago

Introduction to government debt and treasuries. What it means when we say that Federal Reserve Notes are issued by the Reserve bank but are an obligation of the Government. More free lessons at: http://www.khanacademy.org/video?v=JBWdbzzYbtU
12:28
Banking 13: Open Market Operations

653 views / 0 likes - added 9 years ago

Tools of the Central Bank to increase the money supply. More free lessons at: http://www.khanacademy.org/video?v=BTNarhvGX88
11:42
Banking 14: Fed Funds Rate

688 views / 0 likes - added 9 years ago

How open market operations effect the rate at which banks lend to each other overnight. More free lessons at: http://www.khanacademy.org/video?v=IniG1KkPS2c
11:40
Banking 16: Why target rates vs. money supply

657 views / 0 likes - added 9 years ago

The rationale for targeting interest rates instead of directly having a money supply target. More free lessons at: http://www.khanacademy.org/video?v=yOgGhPIHnlA
10:13 Popular
Banking 17: What happened to the gold?

710 views / 0 likes - added 9 years ago

Getting off the gold standard. A short discussion of the meaning of wealth. More free lessons at: http://www.khanacademy.org/video?v=NFDMXwwzyIM
14:08
Banking 18: Big Picture Discussion

598 views / 0 likes - added 9 years ago

Pros and Cons of various banking systems. More on gold. More free lessons at: http://www.khanacademy.org/video?v=T9byZBGtGuw
19:13
Fractional Reserve Banking Commentary 1

668 views / 0 likes - added 9 years ago

Understanding the weak points of Fractional Reserve Banking More free lessons at: http://www.khanacademy.org/video?v=ZyyaE3DIxhc
17:20
FRB Commentary 2: Deposit Insurance

608 views / 0 likes - added 9 years ago

More on the weaknesses of fractional reserve banking. The FDIC and deposit insurance and its side effects. More free lessons at: http://www.khanacademy.org/video?v=otstXFxMkl4
21:28
FRB Commentary 3: Big Picture

667 views / 0 likes - added 9 years ago

Summary of thoughts in last two videos. Discussion of why Fractional Reserve Banking is a subsidy to banks and allows them to arbitrage the yield curve. More free lessons at: http://www.khanacademy.org/video?v=8SAMey9Gl5I
08:55
Housing price conundrum (part 2)

665 views / 0 likes - added 9 years ago

How lower lending standards led to housing price inflation. More free lessons at: http://www.khanacademy.org/video?v=wYAhlTHIBT4
09:49
Housing Price Conundrum (part 3)

533 views / 0 likes - added 9 years ago

Why did lending standards become more and more lax from 2000 to 2006? More free lessons at: http://www.khanacademy.org/video?v=aAfMps_VyOY
06:54
Housing Conundrum (part 4)

538 views / 0 likes - added 9 years ago

The virtuous circle of housing price appreciation making defaults go down making lending lax making housing appreciate even more More free lessons at: http://www.khanacademy.org/video?v=s6UYa2nwaDw
07:57
Mortgage-Backed Securities I

548 views / 0 likes - added 9 years ago

Part I of the introduction to mortgage-backed securities More free lessons at: http://www.khanacademy.org/video?v=oosYQHq2hwE
09:36
Mortgage-backed securities II

536 views / 0 likes - added 9 years ago

Part II of the introduction to mortgage-backed securities More free lessons at: http://www.khanacademy.org/video?v=eYBlfxGIk28
12:01
Separable Differential Equations

581 views / 0 likes - added 9 years ago

Introduction to separable differential equations. More free lessons at: http://www.khanacademy.org/video?v=C5-lz0hcqsE
05:38
Separable differential equations 2

620 views / 0 likes - added 9 years ago

Another separable differential equation example. More free lessons at: http://www.khanacademy.org/video?v=xVWCfMe97ws
09:54 Popular
Exact Equations Intuition 1 (proofy)

703 views / 0 likes - added 9 years ago

Chain rule using partial derivatives (not a proof; more intuition). More free lessons at: http://www.khanacademy.org/video?v=iEpqcdaJNTQ
09:45
2nd Order Linear Homogeneous Differential Equations 1

584 views / 0 likes - added 9 years ago

Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients. More free lessons at: http://www.khanacademy.org/video?v=UFWAu8Ptth0
08:28
2nd Order Linear Homogeneous Differential Equations 2

594 views / 0 likes - added 9 years ago

Let's find the general solution! More free lessons at: http://www.khanacademy.org/video?v=SPVqgkOZMAc
05:59
2nd Order Linear Homogeneous Differential Equations 3

580 views / 1 likes - added 9 years ago

Let's use some initial conditions to solve for the particular solution More free lessons at: http://www.khanacademy.org/video?v=UyCwAFQt4v0
09:11
2nd Order Linear Homogeneous Differential Equations 4

632 views / 0 likes - added 9 years ago

Another example with initial conditions! More free lessons at: http://www.khanacademy.org/video?v=3uO_uPb9H8w
10:28
Complex roots of the characteristic equations 1

580 views / 0 likes - added 9 years ago

What happens when the characteristic equations has complex roots?! More free lessons at: http://www.khanacademy.org/video?v=6xEO4BeawzA
10:24
Complex roots of the characteristic equations 2

592 views / 0 likes - added 9 years ago

What happens when the characteristic equation has complex roots? More free lessons at: http://www.khanacademy.org/video?v=jJyRrIZ595c
10:12
Complex roots of the characteristic equations 3

541 views / 0 likes - added 9 years ago

Lets do an example with initial conditions! More free lessons at: http://www.khanacademy.org/video?v=rGaM6pwqhB0
11:58
Repeated roots of the characteristic equation

494 views / 0 likes - added 9 years ago

What happens when the characteristic equation only has 1 repeated root? More free lessons at: http://www.khanacademy.org/video?v=NW9JfMvIsxw
08:52
Repeated roots of the characterisitic equations part 2

527 views / 0 likes - added 9 years ago

An example where we use initial conditions to solve a repeated-roots differential equation. More free lessons at: http://www.khanacademy.org/video?v=YezsgIlcb68
10:11
Undetermined Coefficients 1

581 views / 0 likes - added 9 years ago

Using the method of undetermined coefficients to solve nonhomogeneous linear differential equations. More free lessons at: http://www.khanacademy.org/video?v=znE4Nq9NJCQ
08:10
Undetermined Coefficients 3

551 views / 0 likes - added 9 years ago

Another example where the nonhomogeneous part is a polynomial More free lessons at: http://www.khanacademy.org/video?v=I3vIAzMcm4Y
10:45
Laplace Transform 3 (L{sin(at)})

593 views / 0 likes - added 9 years ago

Laplace Transform of sin(at) (part 1) More free lessons at: http://www.khanacademy.org/video?v=gMcs6RF_LrQ
09:14
Laplace Transform 4

543 views / 0 likes - added 9 years ago

Part 2 of getting the Laplace transform of sin(at) More free lessons at: http://www.khanacademy.org/video?v=-cApVwKR1Ps
10:46
Laplace Transform solves an equation 2

537 views / 0 likes - added 9 years ago

Second part of using the Laplace Transform to solve a differential equation. More free lessons at: http://www.khanacademy.org/video?v=EdQ7Q9VoF44
13:41
Matrix multiplication (part 1)

696 views / 0 likes - added 9 years ago

Multiplying two 2x2 matrices.
14:37
Matrix multiplication (part 2)

543 views / 0 likes - added 9 years ago

More on multiplying matrices.
14:15 Popular
Inverse Matrix (part 1)

740 views / 0 likes - added 9 years ago

Taking the inverse of a 2x2 matrix More free lessons at: http://www.khanacademy.org/video?v=iUQR0enP7RQ
16:45
Inverting matrices (part 2)

511 views / 0 likes - added 9 years ago

Inverting a 3x3 matrix More free lessons at: http://www.khanacademy.org/video?v=S4n-tQZnU6o
13:36
Inverting Matrices (part 3)

673 views / 0 likes - added 9 years ago

Using Gauss-Jordan elimination to invert a 3x3 matrix. More free lessons at: http://www.khanacademy.org/video?v=obts_JDS6_Q
14:27 Popular
Singular Matrices

705 views / 0 likes - added 9 years ago

When and why you can't invert a matrix. More free lessons at: http://www.khanacademy.org/video?v=UqyN7-tRS00
08:02 Popular
3-variable linear equations (part 1)

715 views / 0 likes - added 9 years ago

Visual intuition of a 3-variable linear equation.
25:34
Linear Algebra: Vector Examples

561 views / 0 likes - added 9 years ago

Visually understanding basic vector operations More free lessons at: http://www.khanacademy.org/video?v=r4bH66vYjss
24:47
Linear Algebra: Parametric Representations of Lines

563 views / 0 likes - added 9 years ago

Linear Algebra: Parametric Representations of Lines in R2 and R3 More free lessons at: http://www.khanacademy.org/video?v=hWhs2cIj7Cw
20:35
Linear Combinations and Span

533 views / 0 likes - added 9 years ago

Understanding linear combinations and spans of vectors More free lessons at: http://www.khanacademy.org/video?v=Qm_OS-8COwU
15:46
Linear Algebra: Introduction to Linear Independence

576 views / 0 likes - added 9 years ago

Linear Algebra: Introduction to linear dependence and independence More free lessons at: http://www.khanacademy.org/video?v=CrV1xCWdY-g
17:38
More on linear independence

555 views / 0 likes - added 9 years ago

More examples determining linear dependence or independence. More free lessons at: http://www.khanacademy.org/video?v=Alhcv5d_XOs
16:53
Span and Linear Independence Example

533 views / 0 likes - added 9 years ago

Determining whether 3 vectors are linearly independent and/or span R3 More free lessons at: http://www.khanacademy.org/video?v=9kW6zFK5E5c
23:29
Linear Subspaces

544 views / 0 likes - added 9 years ago

Introduction to linear subspaces of Rn More free lessons at: http://www.khanacademy.org/video?v=pMFv6liWK4M
19:00
Linear Algebra: Basis of a Subspace

581 views / 0 likes - added 9 years ago

Understanding the definition of a basis of a subspace More free lessons at: http://www.khanacademy.org/video?v=zntNi3-ybfQ
16:56 Popular
Proof of the Cauchy-Schwarz Inequality

733 views / 0 likes - added 9 years ago

Proof of the Cauchy-Schwarz Inequality More free lessons at: http://www.khanacademy.org/video?v=r2PogGDl8_U
18:53
Linear Algebra: Vector Triangle Inequality

605 views / 0 likes - added 9 years ago

Proving the triangle inequality for vectors in Rn More free lessons at: http://www.khanacademy.org/video?v=PsNidCBr5II
15:47
Linear Algebra: Cross Product Introduction

574 views / 0 likes - added 9 years ago

Introduction to the cross product More free lessons at: http://www.khanacademy.org/video?v=pJzmiywagfY
19:14
Dot and Cross Product Comparison/Intuition

616 views / 0 likes - added 9 years ago

Dot and Cross Product Comparison/Intuition More free lessons at: http://www.khanacademy.org/video?v=tdwFdzVqito
17:43
Matrices: Reduced Row Echelon Form 1

627 views / 0 likes - added 9 years ago

Solving a system of linear equations by putting an augmented matrix into reduced row echelon form More free lessons at: http://www.khanacademy.org/video?v=L0CmbneYETs
07:37
Matrices: Reduced Row Echelon Form 2

641 views / 0 likes - added 9 years ago

Another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form More free lessons at: http://www.khanacademy.org/video?v=lP1DGtZ8Wys
12:08
Matrices: Reduced Row Echelon Form 3

682 views / 0 likes - added 9 years ago

And another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form More free lessons at: http://www.khanacademy.org/video?v=JVDrlTdzxiI
11:35
Null Space 3: Relation to Linear Independence

667 views / 0 likes - added 9 years ago

Understanding how the null space of a matrix relates to the linear independence of its column vectors More free lessons at: http://www.khanacademy.org/video?v=vFctYRhK2M0
21:11
Visualizing a Column Space as a Plane in R3

664 views / 0 likes - added 9 years ago

Determining the planar equation for a column space in R3 More free lessons at: http://www.khanacademy.org/video?v=EGNlXtjYABw
08:33
Showing relation between basis cols and pivot cols

635 views / 0 likes - added 9 years ago

Showing that linear independence of pivot columns implies linear independence of the corresponding columns in the original equation More free lessons at: http://www.khanacademy.org/video?v=BfVjTOjvI30
13:53
Linear Transformations

635 views / 0 likes - added 9 years ago

Introduction to linear transformations More free lessons at: http://www.khanacademy.org/video?v=4PCktDZJH8E
17:04 Popular
Matrix Vector Products as Linear Transformations

764 views / 0 likes - added 9 years ago

Matrix Vector Products as Linear Transformations More free lessons at: http://www.khanacademy.org/video?v=ondmopWLiEg
17:32 Popular
Linear Transformations as Matrix Vector Products

787 views / 0 likes - added 9 years ago

Showing how ANY linear transformation can be represented as a matrix vector product More free lessons at: http://www.khanacademy.org/video?v=PErhLkQcpZ8
15:09
Sums and Scalar Multiples of Linear Transformations

650 views / 0 likes - added 9 years ago

Sums and Scalar Multiples of Linear Transformations. Definitions of matrix addition and scalar multiplication. More free lessons at: http://www.khanacademy.org/video?v=wHuY97vss18
10:42
More on Matrix Addition and Scalar Multiplication

671 views / 0 likes - added 9 years ago

More on Matrix Addition and Scalar Multiplication More free lessons at: http://www.khanacademy.org/video?v=Z19-ObbmHJE
15:13
Linear Transformation Examples: Scaling and Reflections

658 views / 0 likes - added 9 years ago

Creating scaling and reflection transformation matrices (which are diagonal) More free lessons at: http://www.khanacademy.org/video?v=qkfODKmZ-x4
17:52
Linear Transformation Examples: Rotations in R2

672 views / 0 likes - added 9 years ago

Linear Transformation Examples: Rotations in R2 More free lessons at: http://www.khanacademy.org/video?v=lPWfIq5DzqI
12:18
Rotation in R3 around the X-axis

634 views / 0 likes - added 9 years ago

Construction a rotation transformation in R3 More free lessons at: http://www.khanacademy.org/video?v=gkyuLPzfDV0
06:59
Unit Vectors

679 views / 0 likes - added 9 years ago

What unit vectors are and how to construct them More free lessons at: http://www.khanacademy.org/video?v=lQn7fksaDq0
12:21
Compositions of Linear Transformations 1

655 views / 0 likes - added 9 years ago

Introduction to compositions of Linear Transformations More free lessons at: http://www.khanacademy.org/video?v=f_DTiXZpb8M
16:31
Compositions of Linear Transformations 2

640 views / 0 likes - added 9 years ago

Providing the motivation for definition of matrix products More free lessons at: http://www.khanacademy.org/video?v=BuqcKpe5ZQs
18:14
Linear Algebra: Matrix Product Examples

694 views / 0 likes - added 9 years ago

Example of taking the product of two matrices More free lessons at: http://www.khanacademy.org/video?v=x1z0hOyjapU
11:59 Popular
Matrix Product Associativity

714 views / 0 likes - added 9 years ago

Showing that matrix products are associative More free lessons at: http://www.khanacademy.org/video?v=Hhc96U_HvQE
18:54
Linear Algebra: Introduction to the inverse of a function

646 views / 0 likes - added 9 years ago

Introduction to the inverse of a function More free lessons at: http://www.khanacademy.org/video?v=-eAzhBZgq28
16:34 Popular
Linear Algebra: Exploring the solution set of Ax=b

1,850 views / 0 likes - added 9 years ago

Exploring the solution set of Ax=b (non homogeneous equations) More free lessons at: http://www.khanacademy.org/video?v=1PsNIzUJPkc
20:00
Linear Algebra: Matrix condition for one-to-one trans

693 views / 0 likes - added 9 years ago

Showing that the rank of the of an mxn transformation matrix has to be an for the transformation to be one-to-one (injective) More free lessons at: http://www.khanacademy.org/video?v=M3FuL9qKTBs
06:37
Linear Algebra: Simplifying conditions for invertibility

645 views / 0 likes - added 9 years ago

Showing that a transformation is invertible if and only if rref(A) is equal to the identity matrix More free lessons at: http://www.khanacademy.org/video?v=Yz2OosyMTmY
21:25
Linear Algebra: Showing that Inverses are Linear

612 views / 0 likes - added 9 years ago

Showing that inverse transformations are also linear More free lessons at: http://www.khanacademy.org/video?v=mr9Tow8hpCg
18:00
Linear Algebra: Deriving a method for determining inverses

631 views / 0 likes - added 9 years ago

Determining a method for constructing inverse transformation matrices More free lessons at: http://www.khanacademy.org/video?v=6DpzCKJBsz0
06:22
Linear Algebra: Example of Finding Matrix Inverse

644 views / 0 likes - added 9 years ago

Example of calculating the inverse of a matrix More free lessons at: http://www.khanacademy.org/video?v=r9aTLTN16V4
18:20
Linear Algebra: Formula for 2x2 inverse

676 views / 0 likes - added 9 years ago

Figuring out the formula for a 2x2 matrix. Defining the determinant. More free lessons at: http://www.khanacademy.org/video?v=eEUK_ThrHuQ
10:01
Linear Algebra: 3x3 Determinant

695 views / 0 likes - added 9 years ago

Determinants: Finding the determinant of a 3x3 matrix More free lessons at: http://www.khanacademy.org/video?v=0c7dt2SQfLw
18:40
Linear Algebra: nxn Determinant

632 views / 0 likes - added 9 years ago

Defining the determinant for nxn matrices. An exampled of a 4x4 determinant. More free lessons at: http://www.khanacademy.org/video?v=H9BWRYJNIv4
09:03
Linear Algebra: Determinants along other rows/cols

671 views / 0 likes - added 9 years ago

Finding the determinant by going along other rows or columns More free lessons at: http://www.khanacademy.org/video?v=nu87kfmwNfU
07:18 Popular
Linear Algebra: Rule of Sarrus of Determinants

723 views / 0 likes - added 9 years ago

A alternative "short cut" for calculating 3x3 determinants (Rule of Sarrus) More free lessons at: http://www.khanacademy.org/video?v=4xFIi0JF2AM
13:20
Linear Algebra: Determinant when row multiplied by scalar

642 views / 0 likes - added 9 years ago

The determinant when a row is multiplied by a scalar More free lessons at: http://www.khanacademy.org/video?v=32rdijPB-rA
02:52 Popular
Linear Algebra: (correction) scalar muliplication of row

992 views / 0 likes - added 9 years ago

Correction of last video showing that the determinant when one row is multiplied by a scalar is equal to the scalar times the determinant More free lessons at: http://www.khanacademy.org/video?v=WY6QG0mZ7uQ
16:55 Popular
Linear Algebra: Determinant when row is added

919 views / 0 likes - added 9 years ago

The determinant when one matrix has a row that is the sum of the rows of other matrices (and every other term is identical in the 3 matrices) More free lessons at: http://www.khanacademy.org/video?v=VrB3LaSD_uo
08:19 Popular
Linear Algebra: Duplicate Row Determinant

714 views / 0 likes - added 9 years ago

Determinant of a matrix with duplicate rows More free lessons at: http://www.khanacademy.org/video?v=gYv8sttBIqs
10:25
Linear Algebra: Determinant after row operations

637 views / 0 likes - added 9 years ago

What happens to the determinant when we perform a row operation More free lessons at: http://www.khanacademy.org/video?v=kpG7xySkivg
08:07
Linear Algebra: Upper Triangular Determinant

657 views / 0 likes - added 9 years ago

The determinant of an upper triangular matrix More free lessons at: http://www.khanacademy.org/video?v=VX7K8iqoiRc
09:13 Popular
Linear Algebra: Simpler 4x4 determinant

707 views / 0 likes - added 9 years ago

Calculating a 4x4 determinant by putting in in upper triangular form first. More free lessons at: http://www.khanacademy.org/video?v=QV0jsTiobU4
21:38 Popular
Linear Algebra: Determinant and area of a parallelogram

1,264 views / 0 likes - added 9 years ago

Realizing that the determinant of a 2x2 matrix is equal to the area of the parallelogram defined by the column vectors of the matrix More free lessons at: http://www.khanacademy.org/video?v=n-S63_goDFg
20:10 Popular
Linear Algebra: Determinant as Scaling Factor

752 views / 0 likes - added 9 years ago

Viewing the determinant of the transformation matrix as a scaling factor of regions More free lessons at: http://www.khanacademy.org/video?v=g3MqSdO5Ubc
08:37
Linear Algebra: Transpose of a Matrix

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Transpose of a matrix More free lessons at: http://www.khanacademy.org/video?v=2t0003_sxtU
14:10
Linear Algebra: Determinant of Transpose

690 views / 0 likes - added 9 years ago

Proof by induction that transposing a matrix does not change its determinant More free lessons at: http://www.khanacademy.org/video?v=x-GV2v0dRNE
08:50
Linear Algebra: Transpose of a Matrix Product

669 views / 0 likes - added 9 years ago

Taking the transpose of the product of two matrices More free lessons at: http://www.khanacademy.org/video?v=UdHgWK13x5I
08:41
Linear Algebra: Transposes of sums and inverses

674 views / 0 likes - added 9 years ago

Transposes of sums and inverses More free lessons at: http://www.khanacademy.org/video?v=Br_8t58mdeI
12:07
Linear Algebra: Transpose of a Vector

643 views / 0 likes - added 9 years ago

Transpose of a column vector. Matrix-matrix products using vectors More free lessons at: http://www.khanacademy.org/video?v=lSoaMCNKfAg
23:19
Linear Algebra: Rowspace and Left Nullspace

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Rowspace and Left Nullspace More free lessons at: http://www.khanacademy.org/video?v=qBfc57x_RSg
22:08
Linear Algebra: Orthogonal Complements

671 views / 0 likes - added 9 years ago

Orthogonal Complements as subspaces. More free lessons at: http://www.khanacademy.org/video?v=QOTjdgmNqlg
11:14 Popular
Linear Algebra: Rank(A) = Rank(transpose of A)

703 views / 0 likes - added 9 years ago

Rank(A) = Rank(transpose of A) More free lessons at: http://www.khanacademy.org/video?v=tqqVOWm9YsU
09:27
Linear Algebra: dim(V) + dim(orthogonoal complelent of V)=n

634 views / 0 likes - added 9 years ago

Showing that if V is a subspace of Rn, then dim(V) + dim(V's orthogonal complement) = n More free lessons at: http://www.khanacademy.org/video?v=pGhBfkBqok0
19:38
Linear Alg: Rowspace Solution to Ax=b example

651 views / 0 likes - added 9 years ago

Visualizing the rowspace solution to Ax=b More free lessons at: http://www.khanacademy.org/video?v=qdf2CuMGdKs
12:34
Lin Alg: Showing that A-transpose x A is invertible

673 views / 0 likes - added 9 years ago

Showing that (transpose of A)(A) is invertible if A has linearly independent columns More free lessons at: http://www.khanacademy.org/video?v=ESSMQH6Y5OA
17:26
Linear Algebra: Projections onto Subspaces

695 views / 0 likes - added 9 years ago

Projections onto subspaces More free lessons at: http://www.khanacademy.org/video?v=5B8XluiqdHM
09:28
Linear Alg: Visualizing a projection onto a plane

663 views / 0 likes - added 9 years ago

Visualizing a projection onto a plane. Showing that the old and new definitions of projections aren't that different. More free lessons at: http://www.khanacademy.org/video?v=uWbZlJURkfA
16:16
Lin Alg: A Projection onto a Subspace is a Linear Transforma

689 views / 0 likes - added 9 years ago

Showing that a projection onto a subspace is a linear transformation More free lessons at: http://www.khanacademy.org/video?v=cTyNpXB92bQ
13:04 Popular
Linear Algebra: Subspace Projection Matrix Example

775 views / 0 likes - added 9 years ago

Example of a transformation matrix for a projection onto a subspace More free lessons at: http://www.khanacademy.org/video?v=QTcSBB3uVP0
09:05 Popular
Linear Alg: Projection is closest vector in subspace

715 views / 0 likes - added 9 years ago

Showing that the projection of x onto a subspace is the closest vector in the subspace to x More free lessons at: http://www.khanacademy.org/video?v=b269qpILOpk
15:32
Linear Algebra: Least Squares Approximation

676 views / 0 likes - added 9 years ago

The least squares approximation for otherwise unsolvable equations More free lessons at: http://www.khanacademy.org/video?v=MC7l96tW8V8
18:50
Linear Algebra: Least Squares Examples

686 views / 0 likes - added 9 years ago

An example using the least squares solution to an unsolvable system More free lessons at: http://www.khanacademy.org/video?v=8mAZYv5wIcE
13:25 Popular
Linear Algebra: Another Least Squares Example

737 views / 0 likes - added 9 years ago

Using least squares approximation to fit a line to points More free lessons at: http://www.khanacademy.org/video?v=QkepM8Vv3kw
16:08
Linear Algebra: Coordinates with Respect to a Basis

657 views / 0 likes - added 9 years ago

Understanding alternate coordinate systems More free lessons at: http://www.khanacademy.org/video?v=uvgru6FcyxU
17:55 Popular
Linear Algebra: Change of Basis Matrix

724 views / 0 likes - added 9 years ago

Using a change of basis matrix to get us from one coordinate system to another. More free lessons at: http://www.khanacademy.org/video?v=1j5WnqwMdCk
18:02 Popular
Lin Alg: Transformation Matrix with Respect to a Basis

713 views / 0 likes - added 9 years ago

Finding the transformation matrix with respect to a non-standard basis More free lessons at: http://www.khanacademy.org/video?v=PiuhTj0zCf4
12:36 Popular
Lin Alg: Alternate Basis Tranformation Matrix Example Part 2

924 views / 0 likes - added 9 years ago

Showing that the transformation matrix with respect to basis B actually works. Brief point on why someone would want to operate in a different basis to begin with. More free lessons at: http://www.khanacademy.org/video?v=EyORbCPUAd4
29:00 Popular
Lin Alg: Changing coordinate systems to help find a transformation matrix

860 views / 0 likes - added 9 years ago

Changing our coordinate system to find the transformation matrix with respect to standard coordinates More free lessons at: http://www.khanacademy.org/video?v=K_na_j1Msfg
11:16
Linear Algebra: Introduction to Orthonormal Bases

669 views / 0 likes - added 9 years ago

Looking at sets and bases that are orthonormal -- or where all the vectors have length 1 and are orthogonal to each other. More free lessons at: http://www.khanacademy.org/video?v=7BFx8pt2aTQ
15:28 Popular
Linear Algebra: Coordinates with respect to orthonormal bases

769 views / 0 likes - added 9 years ago

Seeing that orthonormal bases make for good coordinate systems More free lessons at: http://www.khanacademy.org/video?v=SWbis2zWIvo
19:24
Linear Algebra: The Gram-Schmidt Process

665 views / 0 likes - added 9 years ago

Finding an orthonormal basis for a subspace using the Gram-Schmidt Process More free lessons at: http://www.khanacademy.org/video?v=rHonltF77zI
13:14
Linear Algebra: Gram-Schmidt Process Example

649 views / 0 likes - added 9 years ago

Using Gram-Schmidt to find an orthonormal basis for a plane in R3 More free lessons at: http://www.khanacademy.org/video?v=tu1GPtfsQ7M
13:57
Linear Algebra: Gram-Schmidt example with 3 basis vectors

696 views / 0 likes - added 9 years ago

Gram-Schmidt example with 3 basis vectors More free lessons at: http://www.khanacademy.org/video?v=ZRRG386v6DI
07:43
Linear Algebra: Introduction to Eigenvalues and Eigenvectors

685 views / 0 likes - added 9 years ago

What eigenvectors and eigenvalues are and why they are interesting More free lessons at: http://www.khanacademy.org/video?v=PhfbEr2btGQ
09:19 Popular
Linear Algebra: Proof of formula for determining Eigenvalues

722 views / 0 likes - added 9 years ago

Proof of formula for determining Eigenvalues More free lessons at: http://www.khanacademy.org/video?v=rfm0wQObxjk
05:39
Linear Algebra: Example solving for the eigenvalues of a 2x2 matrix

696 views / 0 likes - added 9 years ago

Example solving for the eigenvalues of a 2x2 matrix More free lessons at: http://www.khanacademy.org/video?v=pZ6mMVEE89g
14:34 Popular
Linear Algebra: Finding Eigenvectors and Eigenspaces example

715 views / 0 likes - added 9 years ago

Finding the eigenvectors and eigenspaces of a 2x2 matrix More free lessons at: http://www.khanacademy.org/video?v=3-xfmbdzkqc
14:08
Linear Algebra: Eigenvalues of a 3x3 matrix

692 views / 0 likes - added 9 years ago

Determining the eigenvalues of a 3x3 matrix More free lessons at: http://www.khanacademy.org/video?v=11dNghWC4HI
15:34
Linear Algebra: Eigenvectors and Eigenspaces for a 3x3 matrix

686 views / 0 likes - added 9 years ago

Eigenvectors and eigenspaces for a 3x3 matrix More free lessons at: http://www.khanacademy.org/video?v=3Md5KCCQX-0
13:09 Popular
Linear Algebra: Showing that an eigenbasis makes for good coordinate systems

705 views / 0 likes - added 9 years ago

Showing that an eigenbasis makes for good coordinate systems More free lessons at: http://www.khanacademy.org/video?v=C2PC9185gIw
15:31
Singapore Math: Grade 3a, Unit 1 (part 1)

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Objectives: Read and write numbers less than 10,000. Relate each 4-digit number to its place value.
15:11
Singapore Math: Grade 3a Unit 1 (part 2)

495 views / 0 likes - added 9 years ago

Objectives: Read and write numbers less than 10,000. Relate each digit in a 4-digit number to its place value.
13:18
Singapore Math: Grade 3a, Unit 1 (part 3)

617 views / 0 likes - added 9 years ago

Objectives: Read and write numbers less than 10,000. Relate each digit in a 4-digit number to its place value. Compare and order numbers within 10,000.
12:24
Singapore Math: Grade 3a, Unit 1 (part 4)

459 views / 0 likes - added 9 years ago

More on place value
13:07
Singapore Math: Grade 3a, Unit 1 (part 5)

460 views / 0 likes - added 9 years ago

Even more on place value
15:44
Singapore Math: Grade 3a, Unit 1 (part 6)

478 views / 0 likes - added 9 years ago

Ordering numbers using place value
13:06
Singapore Math: Grade 3a, Unit 1 (part 7)

484 views / 0 likes - added 9 years ago

Place value, ordering numbers, number patterns
15:39
Singapore Math: Grade 3a, Unit 1 (part 8)

466 views / 0 likes - added 9 years ago

More on number patterns with place value.
17:53
Singapore Math: Grade 3a, Unit 1 (part 9)

493 views / 0 likes - added 9 years ago

More number patterns with place value
14:26
Singapore Math: Grade 3a Unit 2 (part 1)

603 views / 0 likes - added 9 years ago

The sum of and difference between 2 numbers.
13:07
Singapore Math: Grade 3a Unit 2 (part 2)

509 views / 0 likes - added 9 years ago

Word problem with cookies
09:57
Singapore Math: Grade 3a Unit 2 (part 3)

473 views / 0 likes - added 9 years ago

A man selling balloons at a carnival.
13:04
Singapore Math: Grade 3a Unit 2 (part 4)

450 views / 0 likes - added 9 years ago

Some more word problems
14:18
Singapore Math: Grade 3a Unit 2 (part 5)

494 views / 0 likes - added 9 years ago

Adding 4 digit numbers
13:54
Singapore Math: Grade 3a Unit 2 (part 6)

424 views / 0 likes - added 9 years ago

More adding of 4 digit numbers
12:13
Singapore Math: Grade 3a Unit 2 (part 7)

444 views / 0 likes - added 9 years ago

Even more adding of 4-digit numbers
15:02
Singapore Math: Grade 3a Unit 2 (part 8)

452 views / 0 likes - added 9 years ago

Subtracting 4-digit numbers
13:07
Singapore Math: Grade 3a Unit 2 (part 9)

500 views / 0 likes - added 9 years ago

More on subtracting 4-digit numbers
11:31
Singapore Math: Grade 3a Unit 2 (part 10)

585 views / 0 likes - added 9 years ago

Some final 4 digit subtraction problems.
12:16
Singapore Math: Grade 3a Unit 2 (part 11)

548 views / 0 likes - added 9 years ago

Some 2-step word problems.
06:00 Popular
Compound Probability of Independent Events

729 views / 0 likes - added 9 years ago

Probability of particular sequences of flips More free lessons at: http://www.khanacademy.org/video?v=xSc4oLA9e8o
09:54
Probability (part 2)

650 views / 0 likes - added 9 years ago

Let's flip a coin. More free lessons at: http://www.khanacademy.org/video?v=6E_NVnboMB8
10:06
Probability (part 3)

663 views / 0 likes - added 9 years ago

More on probability. More free lessons at: http://www.khanacademy.org/video?v=wBDOCvHYckE
10:00
Probability (part 4)

583 views / 0 likes - added 9 years ago

More on free throws. More free lessons at: http://www.khanacademy.org/video?v=W581OBM9rAY
10:08 Popular
Probability (part 5)

723 views / 0 likes - added 9 years ago

Probability of getting a certain number roll in Monopoly More free lessons at: http://www.khanacademy.org/video?v=2XToWi9j0Tk
09:16
Probability (part 6)

643 views / 0 likes - added 9 years ago

Introduction to conditional probability More free lessons at: http://www.khanacademy.org/video?v=xf3vfczoCho
10:05
Probability (part 7)

657 views / 0 likes - added 9 years ago

More on conditional probability. Touch on Bayes' Theorem. More free lessons at: http://www.khanacademy.org/video?v=BLcgeLALLnc
05:23 Popular
Probability (part 8)

751 views / 0 likes - added 9 years ago

Introduction to Bayes' Theorem More free lessons at: http://www.khanacademy.org/video?v=VVr8snbaxZg
10:36
Probability and Combinations (part 2)

629 views / 0 likes - added 9 years ago

Making at least 3 out of 5 free throws. More free lessons at: http://www.khanacademy.org/video?v=W7DmsJKLoxc
13:17 Popular
Birthday Probability Problem

830 views / 0 likes - added 9 years ago

The probability that at least 2 people in a room of 30 share the same birthday. More free lessons at: http://www.khanacademy.org/video?v=9G0w61pZPig
08:39
Introduction to Vectors and Scalars

487 views / 0 likes - added 9 years ago

Distance, displacement, speed and velocity. Difference between vectors and scalars More free lessons at: http://www.khanacademy.org/video?v=ihNZlp7iUHE
09:26
Why Distance is Area under Velocity-Time Line

487 views / 0 likes - added 9 years ago

Understanding why distance is area under velocity-time line More free lessons at: http://www.khanacademy.org/video?v=d-_eqgj5-K8
14:16
Acceleration of Aircraft Carrier Takeoff

608 views / 0 likes - added 9 years ago

Using what we know about takeoff velocity and runway length to determine acceleration More free lessons at: http://www.khanacademy.org/video?v=VYgSXBjEA8I
04:49
Race Cars with Constant Speed Around Curve

648 views / 0 likes - added 9 years ago

When acceleration could involve a change in direction and not speed More free lessons at: http://www.khanacademy.org/video?v=ITA1rW5UraU
10:41
Mass and Weight Clarification

518 views / 0 likes - added 9 years ago

Difference between mass and weight More free lessons at: http://www.khanacademy.org/video?v=IuBoeDihLUc
07:53
Total Final Velocity for Projectile

562 views / 0 likes - added 9 years ago

Calculating the total final velocity for a projectile landing at a different altitude (mistake near end: I write 29.03 when it should be 26.03 m/s and the final total magnitude should be 26.55 m/s 78.7 degrees below horizontal More free lessons at: http:/
05:50
Optimal angle for a projectile part 1

446 views / 0 likes - added 9 years ago
04:12
Optimal angle for a projectile part 2 - Hangtime

546 views / 0 likes - added 9 years ago

Optimal angle for a projectile part 2 - Hangtime More free lessons at: http://www.khanacademy.org/video?v=XtAB9GOfLiM
02:39 Popular
Optimal angle for a projectile part 3 - Horizontal distance as a function of angle (and speed)

1,247 views / 0 likes - added 9 years ago

Horizontal distance as a function of angle (and speed) More free lessons at: http://www.khanacademy.org/video?v=-h_x8TwC1ik
10:41
Optimal angle for a projectile part 4 Finding the optimal angle and distance with a bit of calculu

466 views / 0 likes - added 9 years ago

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